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Teoriya Veroyatnostei i ee Primeneniya, 2006, Volume 51, Issue 1, Pages 109–125
DOI: https://doi.org/10.4213/tvp149 (Mi tvp149) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Wigner function and diffusion in collisionfree media of quantum particles

V. V. Kozlova, O. G. Smolyanovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (2176 kB) Citations (15)
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DOI: https://doi.org/10.4213/tvp149
Abstract: A quantum Poincaré model (realizing behavior of ideal gas of noninteracting quantum Bolztman particles) is introduced. We use the fact that the evolution of the Wigner function corresponding to a quantum system with a quadratic Hamiltonian coincides with the evolution of a probability distribution on a phase space of the Hamiltonian system, the quantization of which gives the quantum system under consideration.
Keywords: Poincaré model, Wigner function, Heisenberg equation, Hamiltonian equation, Weyl operator, Weyl function, ideal gas.
Received: 06.10.2005
English version:
Theory of Probability and its Applications, 2007, Volume 51, Issue 1, Pages 168–181
DOI: https://doi.org/10.1137/S0040585X97982220
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kozlov, O. G. Smolyanov, “Wigner function and diffusion in collisionfree media of quantum particles”, Teor. Veroyatnost. i Primenen., 51:1 (2006), 109–125; Theory Probab. Appl., 51:1 (2007), 168–181
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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